{
  "id": "1605.04830",
  "version": "v1",
  "published": "2016-05-16T16:35:23.000Z",
  "updated": "2016-05-16T16:35:23.000Z",
  "title": "Characterization of the Haagerup property for residually amenable groups",
  "authors": [
    "Kamil Orzechowski"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GR",
    "math.MG"
  ],
  "abstract": "The notions of a box family and fibred cofinitely-coarse embedding are introduced. The countable, residually amenable groups satisfying the Haagerup property are then characterized as those possessing a box family that admits a fibred cofinitely-coarse embedding into a Hilbert space. This is a generalization of a result of X. Chen, Q. Wang and X. Wang on residually finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-16T16:35:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20E26",
      "51Fxx"
    ],
    "keywords": [
      "residually amenable groups",
      "haagerup property",
      "characterization",
      "fibred cofinitely-coarse embedding",
      "box family"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}